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Simplifying x3 + -1(-7x2) + -1(-18x) = 0 Remove parenthesis around (-7x2) x3 + -1 * -7x2 + -1(-18x) = 0 Multiply -1 * -7 x3 + 7x2 + -1(-18x) = 0 Remove parenthesis around (-18x) x3 + 7x2 + -1 * -18x = 0 Multiply -1 * -18 x3 + 7x2 + 18x = 0 Reorder the terms: 18x + 7x2 + x3 = 0 Solving 18x + 7x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 7x + x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(18 + 7x + x2)' equal to zero and attempt to solve: Simplifying 18 + 7x + x2 = 0 Solving 18 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 7x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 7x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7x + x2 = 0 + -18 7x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 7x + x2 = -18 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -18 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -18 + 12.25 Combine like terms: -18 + 12.25 = -5.75 12.25 + 7x + x2 = -5.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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